The food and drug administration monitors the production line of a breakfast cereal company to determine what proportion of its boxes of cereal contain insect parts. the fda would like to know that proportion to within 5 percentage points with 95% confidence. how many boxes of cereal should they sample?

They should sample at-least 385 boxes of cereal .

Step-by-step explanation:

Let p be the proportion of boxes of cereal contain insect parts.

Given : The FDA would like to know that proportion to within 5 percentage points with 95% confidence.

i.e. margin of error : E= 0.05

We know that the z-value for 95% confidence =

Since the prior proportion of boxes of cereal contain insect parts is unknown , so we assume p = 0.5

Formula to find the sample size :

Simply , we get

Hence, they should sample at-least 385 boxes of cereal .

step-by-step explanation: